Respuesta :

Answer:

4th one

Step-by-step explanation:

(4x-x^3+3)-(+2x^2-3x^3+1)=

4x - x^3 + 3 -2x^2 + 3x^3 - 1= (changed the signs in the parenthesis)

4x + 2x^3 +2 -2x^2 (add and substract as u usually would)

Step-by-step explanation:

[tex](4x - {x}^{3} + 3) - (2 {x}^{2} - 3 {x}^{3} + 1) [/tex]

[tex] = 4x - {x}^{3} + 3 - 2 {x}^{2} + 3 {x}^{3} - 1 [/tex]

[tex] = 3 {x}^{3} - {x}^{3} - 2 {x}^{2} + 4x + 3 - 1[/tex]

[tex] = 2 {x}^{3} - 2 {x}^{2} + 4x + 2[/tex]

Hence, Option D is correct